"The Debian project has updated the stable distribution Debian GNU/Linux 4.0. This update adds security updates to the stable release, together with a few corrections to serious problems. As always, the first point release also corrects a few issues that have been noticed too late in the release process to stop the release, but still should be fixed."

Granted, this is just a small home server but has been running for ages without a single hitch - and it has some bursts of high activity at some times. The previous record for it was 218 days (A prolonged power failure caused it to go down).
For me, Debian is THE Linux server. And etch is excellent in this respect too.

uptime gives a one line display of the following information. The current time, how long the system has been running, how many users are currently logged on, and the system load averages for the past 1, 5, and 15 minutes.

Maybe you are thinking too much in terms of Windows... You will not reboot a Linux box to apply security updates. Only when changing the kernel. I run apt-get update & upgrade every day, every single update is installed. I am also running a custom kernel, compiled from the sources at kernel.org: